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arXiv · 2305.01244

On boundedness and moduli spaces of K-stable Calabi-Yau fibrations over curves

Kenta Hashizume·Masafumi Hattori
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Abstract

We show boundedness of polarized Calabi--Yau fibrations over curves only with fixed volumes of general fibers and Iitaka volumes. As its application, we construct a separated coarse moduli space of K-stable Calabi-Yau fibrations over curves in an adiabatic sense [Hat22b] and show that all members (resp. smooth members) of the moduli are simultaneously uniformly K-stable (resp. have cscK metrics) for a certain choice of polarizations.

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Kenta Hashizume, Masafumi Hattori. 2023-05-02. On boundedness and moduli spaces of K-stable Calabi-Yau fibrations over curves. https://doi.org/10.2140/gt.2025.29.1619

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